For the two graphs you've provided, the question asks whether each represents a function. Let's analyze them based on the definition of a function:

1. Question 9 (First graph):

   • A relation is a function if each input (on the x-axis) has exactly one corresponding output (on the y-axis). This means, for every $x$-value (Speed in mph), there should be only one $y$-value (Distance from home).
   • In the first graph, some vertical lines (especially around 60 mph) would intersect the curve at multiple points. This indicates that a single $x$-value corresponds to multiple $y$-values, violating the definition of a function.
   • Answer: No, this does not represent a function.

2. Question 10 (Second graph):

   • This is a scatter plot, where each point corresponds to a pair of values (Years since 2000, Gross Sales in millions). For it to represent a function, each input $x$-value (Years since 2000) must correspond to exactly one $y$-value (Gross Sales).
   • Here, each $x$-value seems to have only one corresponding $y$-value (no repeated years with different sales values), so this is indeed a function.
   • Answer: Yes, this represents a function.

Would you like further details on how to interpret graphs like these, or any additional help?

Here are 5 related questions to expand on this topic:

1. What is the vertical line test and how does it help identify functions?
2. How would the interpretation change if there were repeated points in the second graph?
3. Can a curve be a function even if it changes direction multiple times?
4. How do piecewise functions relate to these types of graphs?
5. What are some real-world examples where graphs fail to represent functions?

Tip: When trying to determine if a relation is a function, remember that a function cannot have two different outputs for the same input!